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» Automated Proof Construction in Type Theory Using Resolution
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CSL
2007
Springer
14 years 1 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
PPDP
2007
Springer
14 years 1 months ago
Formalizing and verifying semantic type soundness of a simple compiler
We describe a semantic type soundness result, formalized in the Coq proof assistant, for a compiler from a simple imperative language with heap-allocated data into an idealized as...
Nick Benton, Uri Zarfaty
TPHOL
2008
IEEE
14 years 1 months ago
Imperative Functional Programming with Isabelle/HOL
We introduce a lightweight approach for reasoning about programs involving imperative data structures using the proof assistant Isabelle/HOL. It is based on shallow embedding of pr...
Lukas Bulwahn, Alexander Krauss, Florian Haftmann,...
CSL
2004
Springer
14 years 22 days ago
A Dependent Type Theory with Names and Binding
We consider the problem of providing formal support for working tract syntax involving variable binders. Gabbay and Pitts have shown in their work on Fraenkel-Mostowski (FM) set th...
Ulrich Schöpp, Ian Stark
CADE
2007
Springer
14 years 1 months ago
Semantic Selection of Premisses for Automated Theorem Proving
We develop and implement a novel algorithm for discovering the optimal sets of premisses for proving and disproving conjectures in first-order logic. The algorithm uses interpret...
Petr Pudlak